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Finding the Third Proportional to 24,648,480 and 53,194,140

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Solution

The third proportional to 24,648,480 and 53,194,140 is: 114,798,824.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,648,480 : 53,194,140 = 53,194,140 : x
  2. Step 2: Convert to fraction form
    24,648,480/53,194,140 = 53,194,140/x
  3. Step 3: Cross multiply
    24,648,480x = 53,194,140 × 53,194,140
  4. Step 4: Simplify right side
    24,648,480x = 2,829,616,530,339,600
  5. Step 5: Solve for x
    x = 2,829,616,530,339,600/24,648,480
  6. Step 6: Final answer
    x = 114,798,824.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.